Question

If PR>PQ and PS bisects angle QPR. Prove that angle PSR>angle PSQ

Answer 1

Heyaa...☺☺✌

GIVEN => PR > PQ

TO PROVE => <PSR > <PSQ

PROOF => Since PR > PQ

So <PQR > <PRQ
[ angles opposite to greater sides are greater ]

Since PS is the bisector so.
<PQS > <PRS ................. ( 1 )

<QPS + <PQS = <PSR .............. ( 2 )
<PRS + <RPS = <PSQ .............. ( 3 )

From ( 1 ) keeping in ( 2 ) & ( 3 )

<QPS + <RPS = <P

<PQS > <PRS = <PSR = <PSQ

SO <PSR > <PSQ

Hence proved

Hope it helps u..☺☺✌

Thanks....❤❤

Answer 2

the answer is in the attachment

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